Question

Difficulty: Very hardScarcity and Choice

A manufacturing enterprise operates under a strict budget constraint of \text{\mathbb{N}}20\text{ million} and must choose among three mutually exclusive capital projects: Project X yields an expected net profit of \text{\mathbb{N}}35\text{ million}, Project Y yields an expected net profit of \text{\mathbb{N}}28\text{ million}, and Project Z yields an expected net profit of \text{\mathbb{N}}22\text{ million}. If the firm decides to execute Project X, which statement accurately articulates the fundamental economic relationship between scarcity, choice, and opportunity cost in this scenario?

  1. Scarcity of capital forces the firm to make a choice, resulting in an opportunity cost equal to the \text{\mathbb{N}}28\text{ million} net profit foregone from Project Y.Answer
  2. B
    Scarcity of capital forces the firm to make a choice, resulting in an opportunity cost equal to the \text{\mathbb{N}}20\text{ million} financial outlay required to execute Project X.
  3. C
    Scarcity of capital forces the firm to make a choice, giving rise to an opportunity cost of \text{\mathbb{N}}50\text{ million}, which represents the combined net profit of Projects Y and Z.
  4. D
    Selecting Project X shifts the firm's production possibility curve outward, eliminating the opportunity cost associated with unselected projects.

Answer

Scarcity of capital forces the firm to make a choice, resulting in an opportunity cost equal to the \text{\mathbb{N}}28\text{ million} net profit foregone from Project Y.
Because human wants exceed limited resources (scarcity), economic agents are compelled to make a choice based on a scale of preference. When Project X is chosen, the firm sacrifices the benefits of all other options. In economics, opportunity cost is defined specifically as the value of the next best alternative sacrificed—in this case, Project Y, which yields \text{\mathbb{N}}28\text{ million}.

Step-by-Step Solution

1
Identify the resource constraint and available options
The firm faces capital scarcity (limited to \text{\mathbb{N}}20\text{ million}) and must rank mutually exclusive options: Project X (\text{\mathbb{N}}35\text{ million}), Project Y (\text{\mathbb{N}}28\text{ million}), and Project Z (\text{\mathbb{N}}22\text{ million}).
Scarcity mandates that not all desired projects can be funded simultaneously, necessitating a scale of preference.
2
Determine the choice made and identify all foregone alternatives
The firm chooses Project X. The unselected alternatives are Project Y and Project Z.
Economic choice involves selecting the option that maximizes net benefit according to the scale of preference.
3
Calculate the opportunity cost by locating the next best alternative
The next best alternative sacrificed is Project Y, valued at \text{\mathbb{N}}28\text{ million}.
Opportunity cost is defined strictly as the value of the single highest-ranked alternative foregone when a choice is made under scarcity.

Key Concept

Relationship between Scarcity, Choice, Scale of Preference, and Opportunity Cost
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